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Finding the Third Proportional to 921,512.95 and 1,442,463.19

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Solution

The third proportional to 921,512.95 and 1,442,463.19 is: 2,257,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,512.95 : 1,442,463.19 = 1,442,463.19 : x
  2. Step 2: Convert to fraction form
    921,512.95/1,442,463.19 = 1,442,463.19/x
  3. Step 3: Cross multiply
    921,512.95x = 1,442,463.19 × 1,442,463.19
  4. Step 4: Simplify right side
    921,512.95x = 2,080,700,047,292.66
  5. Step 5: Solve for x
    x = 2,080,700,047,292.66/921,512.95
  6. Step 6: Final answer
    x = 2,257,917.31

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.